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Finding the Fourth Proportional to 20,165.08, 27,820.42 and 12,204.40

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Solution

The fourth proportional to 20,165.08, 27,820.42 and 12,204.40 is: 16,837.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.08 : 27,820.42 = 12,204.40 : x
  2. Step 2: Convert to fraction form
    20,165.08/27,820.42 = 12,204.40/x
  3. Step 3: Cross multiply
    20,165.08x = 27,820.42 × 12,204.40
  4. Step 4: Simplify right side
    20,165.08x = 339,531,533.85
  5. Step 5: Solve for x
    x = 339,531,533.85/20,165.08
  6. Step 6: Final answer
    x = 16,837.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.